Understanding Linear Equations

The video tutorial explains how to interpret linear equations using the slope-intercept form. It introduces the concepts of slope and y-intercept, and demonstrates their application through a practical example involving bowling costs. The tutorial guides viewers through calculating the slope and y-intercept from a graph, and using these to form an equation. It then shows how to use this equation to solve problems related to cost and number of games bowled.

What are the two essential components needed to write a linear equation?

• Slope and y-intercept

• Slope and constant

• Y-intercept and x-intercept

• Slope and x-intercept

In the bowling scenario, what does the slope represent?

• The total cost of bowling

• The cost per game

• The cost of renting shoes

• The number of games played

How is the slope calculated in the given scenario?

• By dividing the rise by the run

• By subtracting the run from the rise

• By multiplying the rise by the run

• By adding the rise and run

What does the y-intercept represent in the bowling scenario?

• The number of games played

• The initial cost of renting shoes

• The total cost of bowling

• The cost per game

What is the linear equation derived from the bowling scenario?

• y = 12/9x + 2

• y = 12x + 9/2

• y = 9/2x + 12

• y = 9x + 12

How much will it cost if Jana's family bowls eight games?

• $36

• $48

• $72

• $57

If Jana's family has $57, how many games can they bowl?

• 10 games

• 8 games

• 11 games

• 9 games

What is the first step in solving for the number of games with a given budget?

• Divide the budget by the slope

• Add the y-intercept to the budget

• Subtract the y-intercept from the budget

• Multiply the budget by the slope

What operation is performed after subtracting the y-intercept to find the number of games?

• Divide by the slope

• Add the slope

• Multiply by the slope

• Subtract the slope

What is the final result when solving for the number of games with $57?

• 11 games

• 10 games

• 9 games

• 8 games